Low complexity general time frequency transformation implementing method and hardware implementing architecture
A time-frequency transformation and low-complexity technology, applied in the direction of multi-frequency code system, etc., can solve the problems of complex logic, poor reusability of computing units, hardware implementation complexity, etc., and achieve high reusability of computing units, general-purpose Powerful, easy-to-control effects
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[0020] As attached figure 1 As shown, the low-complexity universal time-frequency transformation implementation method of the present invention mainly includes the following steps:
[0021] Step 1: Insert at roughly the middle of the input sequence x(n) (n is any N point) Zeros New sequence of points among them,
[0022] Step two, for the new sequence Use Köhler-Tuge FFT structure to perform FFT operation or inverse FFT operation to obtain intermediate results
[0023] Step three, the intermediate results The sampling rate ratio is The FFT or inverse FFT result of the original input sequence of N points can be obtained by digital sampling conversion.
[0024] Digital sampling conversion is essentially an interpolator, and the interpolator can be implemented in many ways, such as polynomial, spline, Lagrangian interpolation, etc. This depends on the applications with different requirements for accuracy. In addition, an up-sampling unit can be added to improve the interpolation...
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